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Finding the Fourth Proportional to 12,402.14, 18,579.75 and 9,615.17

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Solution

The fourth proportional to 12,402.14, 18,579.75 and 9,615.17 is: 14,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.14 : 18,579.75 = 9,615.17 : x
  2. Step 2: Convert to fraction form
    12,402.14/18,579.75 = 9,615.17/x
  3. Step 3: Cross multiply
    12,402.14x = 18,579.75 × 9,615.17
  4. Step 4: Simplify right side
    12,402.14x = 178,647,454.81
  5. Step 5: Solve for x
    x = 178,647,454.81/12,402.14
  6. Step 6: Final answer
    x = 14,404.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.